Spectral Shorted Operators
If H is a Hilbert space, S ⊆ H is a closed subspace of H, and A is a positive bounded linear operator on H, the spectral shorted operator ρ(S, A) is defined as the infimum of the sequence Σ(S, An ) 1/n, where Σ(S, B) denotes the shorted operator of B to S. We characterize the left spectral resolutio...
Guardado en:
| Autores principales: | , , |
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| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
2006
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/129289 |
| Aporte de: |
| Sumario: | If H is a Hilbert space, S ⊆ H is a closed subspace of H, and A is a positive bounded linear operator on H, the spectral shorted operator ρ(S, A) is defined as the infimum of the sequence Σ(S, An ) 1/n, where Σ(S, B) denotes the shorted operator of B to S. We characterize the left spectral resolution of ρ(S, A) and show several properties of this operator, particularly in the case that dim S = 1. We use these results to generalize the concept of Kolmogorov complexity for the infinite dimesional case and for non invertible operators. |
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